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Finding the Fourth Proportional to 549.84, 824.86 and 354.75

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Solution

The fourth proportional to 549.84, 824.86 and 354.75 is: 532.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.84 : 824.86 = 354.75 : x
  2. Step 2: Convert to fraction form
    549.84/824.86 = 354.75/x
  3. Step 3: Cross multiply
    549.84x = 824.86 × 354.75
  4. Step 4: Simplify right side
    549.84x = 292,617.98
  5. Step 5: Solve for x
    x = 292,617.98/549.84
  6. Step 6: Final answer
    x = 532.19

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.